One jar with two lids. Why? You want the finished piece to have the best elements in combination. If I made one lid, or one handle for a jar or mug, what are the chances that that one would fit or be proportional? Make an extra (or two, or three). In this case I just finished both lids, bear and bird.

This is a detail of the woven clay pattern. I think when I first made a woven pot, I had not seen this trick before. In fact, several experienced potters, teachers, have had to ask how I did it. I will show, but I will not tell.